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Finding the Fourth Proportional to 198.26, 273.38 and 136.12

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Solution

The fourth proportional to 198.26, 273.38 and 136.12 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 273.38 = 136.12 : x
  2. Step 2: Convert to fraction form
    198.26/273.38 = 136.12/x
  3. Step 3: Cross multiply
    198.26x = 273.38 × 136.12
  4. Step 4: Simplify right side
    198.26x = 37,212.49
  5. Step 5: Solve for x
    x = 37,212.49/198.26
  6. Step 6: Final answer
    x = 187.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.